Hi Douglas,
There's a chandlery just up the road from you in Phuket, Thailand that has whipping twines #2 to #16, Polyester seine twine (#24) and 1.5mm (1/16") polyester-covered Dyneema:
info@eastmarineasia.com
In Singapore itself there are a mutitude of chandleries catering to the fishing fleet - you shoud find something there that you cannot break or go to Raffles marina where they used to stock twines when I was there.
Good luck, David